Question

when the axes are rotated through an angle x/6, find the trantormed an of xsquare+2root3xy-y1=2asyuare
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Answer 1

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Answer in my attachment

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Answer 2

Answer:

Since θ = π/6 , x = X cos α – Y sin α x = X cos π/6 – Y sin π/6 = X. √3/2 − Y.1/2 = (√3X - Y)/2 y = X sin α + Y cos α = X. sin (π/6) + Y cos (π/6) = X. (1/2) + Y.√3/2 = (X + √3Y)/2 Transformed equation is f ⇒ 8X2 – 8Y2 = 8a2 ⇒ X2 – Y2 = a2